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Finding the Fourth Proportional to 50,560, 75,840 and 13,624

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Solution

The fourth proportional to 50,560, 75,840 and 13,624 is: 20,436

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,560 : 75,840 = 13,624 : x
  2. Step 2: Convert to fraction form
    50,560/75,840 = 13,624/x
  3. Step 3: Cross multiply
    50,560x = 75,840 × 13,624
  4. Step 4: Simplify right side
    50,560x = 1,033,244,160
  5. Step 5: Solve for x
    x = 1,033,244,160/50,560
  6. Step 6: Final answer
    x = 20,436

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.